The centre-back, who has been described as "immense" by Ardley, suffered the injury in Saturday's draw with Scunthorpe United.
"The opening signs are that Andy has dislocated his shoulder," Ardley told reporters.
"He managed to put it back in, which is very painful. It's too early to say, but normally it could be six to eight weeks out and that would be a massive blow because he's been immense this season."
Frampton, who started his career at Crystal Palace, moved to AFC Wimbledon at the start of the season after leaving Gillingham.